Give conditions on the constants a, b and c that ensure that the flux integral integral_s f middot ds, where f = ai + bj + ck and s is the lower half of the unit sphere centered at the origin and oriented downward, is positive. (for each, if there is no restriction on the constant select = and enter anything for the value.)

Parameterize by

with and . The downward normal vector to is

Then the flux of across is

Only the last term of the integrand contributes to the integral; we have

so that the flux is . In order for this to be positive, we must have . and can be any constants.

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation: